What is the 9268th prime number?
The 9268th prime number is 96211. The next prime is 96221 (a gap of 10) and the one before is 96199.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 9268th one is 96211.
- 2
96211 is prime because no prime up to ā96211 ā 310.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9268th prime is close to 9268 Ć ln(9268) ā 84657, and here it is 96211.
- 4
96211 has no twin: neither 96209 nor 96213 is prime.
Primes around the 9268th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9265 | 96179 | 12 |
| 9266 | 96181 | 2 |
| 9267 | 96199 | 18 |
| 9268 | 96211 | 12 |
| 9269 | 96221 | 10 |
| 9270 | 96223 | 2 |
| 9271 | 96233 | 10 |
Questions
What is the 9268th prime number?
96211.
Which prime number is 96211?
96211 is the 9268th prime number.
What is the sum of the first 9268 primes?
422,601,913.